The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 84
■^ BOOK III. THE ELEMENTS OF EUCLID. 81 Cor. If from any point without a circle,there be drawn two straight lines cutting it,as AB, AC, the rectangles contained by thewhole lines and the parts of them withoutthe circle, are equal to one another, viz. the Drectangle BA, AE to the rectangle CA,… … PROP. XXXVII. THEOR. If from a point without a circle there be drawn twostraight hnes, one of which cuts the circle, and theother meets it; if the rectangle contained by the wholeline, which cuts the circle, and the part of it withoutthe circle be equal to the square of the line whichmeets it, the…
Mathematics, Greek · Geometry · Trigonometry
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